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Jul 14, 2018
07/18

by
Lodge, Hillary Manton

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477 pages (large print) ; 23 cm

Topics: Women food writers -- Fiction, Family secrets -- Fiction, Long-distance relationships -- Fiction,...

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Jun 30, 2018
06/18

by
N. S. Manton

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If two point particles collide relativistically in one dimension, and the masses, velocities and gamma factors of the incoming particles are rational numbers, then the velocities and gamma factors of the outgoing particles are rational. Numerous examples can be found using Pythagorean triples. At all velocities, the collision results in a Lorentzian reflection of the 2-momenta of the particles.

Topics: Physics, Classical Physics, Popular Physics

Source: http://arxiv.org/abs/1406.3014

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Jun 30, 2018
06/18

by
P. H. C. Lau; N. S. Manton

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The geometrical construction of rational maps using a cubic grid has led to many new Skyrmion solutions, with baryon numbers up to 108. Energy spectra of some of the new Skyrmions are calculated here by semi-classical quantization. Quantization of the B=20 T_d-symmetric Skyrmion, which is one of the newly found Skyrmions, is considered, and this leads to the development of a new approach to solving Finkelstein-Rubinstein (F-R) constraints. Matrix equations are simplified by introducing a...

Topics: High Energy Physics - Theory, Nuclear Theory

Source: http://arxiv.org/abs/1402.6994

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Jun 30, 2018
06/18

by
P. H. C. Lau; N. S. Manton

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The Skyrme model has two Skyrmion solutions of baryon number $12$, with $D_{3h}$ and $D_{4h}$ symmetries. The first has an equilateral triangular shape and the second an extended linear shape, analogous to the triangle and linear chain structures of three alpha particles. We recalculate the moments of inertia of these Skyrmions, and deduce the energies and spins of their quantized rotational excitations. There is a good match with the ground-state band of Carbon-12, and with the recently...

Topics: High Energy Physics - Theory, Nuclear Theory

Source: http://arxiv.org/abs/1408.6680

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Jun 30, 2018
06/18

by
C. J. Halcrow; N. S. Manton

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The spin-orbit force is a vital tool in describing finite nuclei and nucleon interactions; however its microscopic origin is not fully understood. In this paper we study a model inspired by Skyrmions which provides a classical explanation of the force. To simplify the calculations the Skyrmions are approximated as two-dimensional rigid discs which behave like quantum cogwheels.

Topics: High Energy Physics - Theory, Nuclear Theory

Source: http://arxiv.org/abs/1410.0880

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Jun 30, 2018
06/18

by
Jonathan H. Manton; Pierre-Olivier Amblard

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Reproducing kernel Hilbert spaces are elucidated without assuming prior familiarity with Hilbert spaces. Compared with extant pedagogic material, greater care is placed on motivating the definition of reproducing kernel Hilbert spaces and explaining when and why these spaces are efficacious. The novel viewpoint is that reproducing kernel Hilbert space theory studies extrinsic geometry, associating with each geometric configuration a canonical overdetermined coordinate system. This coordinate...

Topics: Mathematics, History and Overview

Source: http://arxiv.org/abs/1408.0952

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Jun 30, 2018
06/18

by
Nicolas Le Bihan; Florent Chatelain; Jonathan H. Manton

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This paper presents several results about isotropic random walks and multiple scattering processes on hyperspheres ${\mathbb S}^{p-1}$. It allows one to derive the Fourier expansions on ${\mathbb S}^{p-1}$ of these processes. A result of unimodality for the multiconvolution of symmetrical probability density functions (pdf) on ${\mathbb S}^{p-1}$ is also introduced. Such processes are then studied in the case where the scattering distribution is von Mises Fisher (vMF). Asymptotic distributions...

Topics: Mathematics, Computing Research Repository, Information Theory

Source: http://arxiv.org/abs/1408.2887

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Jun 30, 2018
06/18

by
Jeremie Boulanger; Salem Said; Nicolas Le Bihan; Jonathan Manton

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This paper considers the problem of optimal filtering for partially observed signals taking values on the rotation group. More precisely, one or more components are considered not to be available in the measurement of the attitude of a 3D rigid body. In such cases, the observed signal takes its values on a Stiefel manifold. It is demonstrated how to filter the observed signal through the anti-development built from observations. A particle filter implementation is proposed to perform the...

Topics: Computing Research Repository, Other Computer Science

Source: http://arxiv.org/abs/1409.7442

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Sep 18, 2014
09/14

by
Marta Costa; Aaron D. Ostrovsky; James D. Manton; Steffen Prohaska; Gregory S.X.E. Jefferis

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Efforts to map neural circuits from model organisms including flies and mice are now generating multi-terabyte datasets of 10,000s of labelled neurons. Technologies such as dense EM based reconstruction, and sparse/multicolor labeling with image registration allow neurons to be embedded within the spatial context of a circuit or a whole brain. These ever-expanding data demand new computational tools to search, organize and navigate neurons. We present a simple, but fast and sensitive,...

Topic: Neuroscience

Source: http://biorxiv.org/content/early/2014/08/09/006346

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Sep 18, 2014
09/14

by
James D. Manton; Aaron D. Ostrovsky; Lea Goetz; Marta Costa; Torsten Rohlfing; Gregory S. X. E. Jefferis

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The stereotyped structure of mammalian and invertebrate brains is a crucial determinant of their circuit organization. Thus large scale efforts to map circuit organization using 3D image data are underway in a number of model systems, including flies and mice. Many of these studies use registration of sample images to a standard template brain to enable co-visualization and spatial querying. However, studies often use distinct template brains, resulting in large islands of data which cannot be...

Topic: Neuroscience

Source: http://biorxiv.org/content/early/2014/06/19/006353

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Oct 3, 2014
10/14

by
Plant, Helen C; Kashyap, Abhishek S; Manton, Kerry J; Hollier, Brett G; Hurst, Cameron P; Stein, Sandra R; Francis, Glenn D; Beadle, Geoffrey F; Upton, Zee; Leavesley, David I

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This article is from BMC Cancer , volume 14 . Abstract Background: Cancer metastasis is the main contributor to breast cancer fatalities as women with the metastatic disease have poorer survival outcomes than women with localised breast cancers. There is an urgent need to develop appropriate prognostic methods to stratify patients based on the propensities of their cancers to metastasise. The insulin-like growth factor (IGF)-I: IGF binding protein (IGFBP):vitronectin complexes have been shown...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4158058